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131201444003424 = 2532947126955461
BaseRepresentation
bin11101110101001110110111…
…011101101011111001100000
3122012112201212012212101001120
4131311032313131223321200
5114144101024131102144
61143013040012332240
736430664043221154
oct3565166735537140
9565481765771046
10131201444003424
11388942467a8483
121286b876174080
135829321087492
1424582803b1064
151027cb5e1be19
hex7753b776be60

131201444003424 has 48 divisors (see below), whose sum is σ = 356279783292720. Its totient is φ = 42225752092160.

The previous prime is 131201444003423. The next prime is 131201444003429. The reversal of 131201444003424 is 424300444102131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131201444003423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23563474947 + ... + 23563480514.

It is an arithmetic number, because the mean of its divisors is an integer number (7422495485265).

Almost surely, 2131201444003424 is an apocalyptic number.

It is an amenable number.

131201444003424 is an abundant number, since it is smaller than the sum of its proper divisors (225078339289296).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131201444003424 is a wasteful number, since it uses less digits than its factorization.

131201444003424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47126955503 (or 47126955495 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 33.

Adding to 131201444003424 its reverse (424300444102131), we get a palindrome (555501888105555).

The spelling of 131201444003424 in words is "one hundred thirty-one trillion, two hundred one billion, four hundred forty-four million, three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 47126955461 94253910922 141380866383 188507821844 282761732766 377015643688 565523465532 754031287376 1131046931064 1366681708369 1508062574752 2262093862128 2733363416738 4100045125107 4524187724256 5466726833476 8200090250214 10933453666952 16400180500428 21866907333904 32800361000856 43733814667808 65600722001712 131201444003424